ት Tergwame Greek · Coptic · Ethiopic · Syriac · Armenian · Georgian · Latin

Quadrivium (Arithmetic, Geometry, Music, Astronomy)

Quadrivium · George Pachymeres · c. 1290-1300 · treatise

Greek · domain: philosophy · researched 2026-11-13

no English translation located. No published English translation of this text was located in the catalogues and series checked. Where only a non-English rendering or a translation of a daughter version exists, it is recorded below and does not close the gap. Treat this as a gap candidate, not as proof that no translation exists; the evidence names every source checked.

Why this is in the register

HOLLIS Primo search 'George Pachymeres quadrivium' returns only Stephanou's edition (Studi e testi 94, Biblioteca apostolica vaticana, 1940), Greek text with no translation. The same search family shows that Pachymeres' Ethics commentary was translated into English in 2022 (De Gruyter, ed. Sophia Xenophontos), which makes the absence of the Quadrivium the sharper gap. No English translation was located (checked 2026-11-13). A scan of the series field across all 71 HOLLIS records returned for 'Pachymeres' shows no volume in the Fathers of the Church, Ancient Christian Writers or Popular Patristics series (checked 2026-11-13).

The quadrivial curriculum of the Patriarchal School at Constantinople, and the main channel through which Byzantium transmitted Nicomachus, Euclid, Ptolemy and the harmonicians in a Christian classroom setting.

Existing translations recorded

None recorded in English. Non-English versions, where they exist, are named in the evidence above.

Electronic text

No open electronic text was verified for this work. The Greek/Coptic/Geʿez may exist only in a print or subscription edition (Migne, CSCO, TLG, CMCL).

Scanned witnesses

Scan search: open scan — 1 candidate(s). Only the arithmetic portion (Pachymeres on Diophantus) is covered by this scan; the full Quadrivium is Stephanou's edition, Studi e testi 94 (Biblioteca apostolica vaticana, 1940), which is in copyright and was not located in scan form: IA advancedsearch 'title:("Studi e testi") AND title:(Pachymeres)' → 0, '"studie testi" 94' → 0, 'title:(quadrivium)' → only modern works. Also checked and negative: IA 'creator:(Pachymeres)' (22 hits, all Historia/Epitome logica/Declamationes — no Quadrivium), BnF SRU 'bib.title all "quadrivium" and bib.author all "Pachym"' → 0 records. The 1548 and 1554 Renaissance prints returned by the same IA search are the logical Epitome (Epitome logices), not the Quadrivium. e-rara could not be queried: its SRU endpoint returns the search-page shell (HTTP 200) instead of SRU XML from this host. Re-OCR of the Tannery volume with -l grc would recover the arithmetic commentary.

Scan / witnessFormatPagesRightsOCREvidence
Diophanti Alexandrini Opera omnia cum Graecis commentariis, ed. Paul Tannery (T…
internet-archive · diophantialexan01diopgoog
pdf383public-domainnoneMetadata: imagecount 383, date 1895 (HTTP 200). The volume title as printed in its own front matter (line 85 of the text derivative) reads 'PACHYMERAE PARAPHRASIN, PLANUDIS COMMENTARIUM', and the editor's prolegomena (l…

Harvard Hollis

Hollis query: George Pachymeres Quadrivium — 1 record(s); match basis author_title.

RecordCitation
Quadrivium de Georges Pachymère
Pachymeres, George, 1242-approximately 1310 · 1940 · gre
Pachymeres, George, 1242-approximately 1310. "Quadrivium de Georges Pachymère." Città del Vaticano : Biblioteca apostolica vaticana, 1940. https://hollis.harvard.edu/permalink/f/1s5nto6/990021190590203941

Sources checked

Cite: Tergwame, “Quadrivium (Arithmetic, Geometry, Music, Astronomy)” (greek gap dossier), 2026. https://naxiai.com/christian/gaps/greek-pachymeres-quadrivium